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Q&A #160

Teachers' Lounge Discussion: Rational roots theorem - no applications

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From: Vladimir Zajic <vzajic@bnl.gov>
To: Teacher2Teacher Public Discussion
Date: 2003120502:18:21
Subject: Re: Rational roots theorem

Rational root theorem:
The possible rational roots of a polynomial with integer coefficients
are r = p/q, where p is a divider of the absolute term and q is a
divider of the highest power term coefficient.

Used in the proof that the 3 famous problems of antiquity (angle
trisection, doubling of a cube, and construction of a regular
heptagon) as well as some new geometry problems (construction of a
triangle from its angle bisectors) are impossible using a straightedge
and compass.


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